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JACM
1998
88views more  JACM 1998»
15 years 5 months ago
A Threshold of ln n for Approximating Set Cover
Given a collection Ᏺ of subsets of S ϭ {1, . . . , n}, set cover is the problem of selecting as few as possible subsets from Ᏺ such that their union covers S, and max k-cover ...
Uriel Feige
CIAC
2006
Springer
278views Algorithms» more  CIAC 2006»
15 years 9 months ago
Covering a Set of Points with a Minimum Number of Lines
We consider the minimum line covering problem: given a set S of n points in the plane, we want to find the smallest number l of straight lines needed to cover all n points in S. W...
Magdalene Grantson, Christos Levcopoulos
RSA
2011
131views more  RSA 2011»
15 years 7 days ago
On covering by translates of a set
Abstract. In this paper we study the minimal number τ(S, G) of translates of an arbitrary subset S of a group G needed to cover the group, and related notions of the efficiency of...
Béla Bollobás, Svante Janson, Oliver...
ESA
2005
Springer
146views Algorithms» more  ESA 2005»
15 years 11 months ago
An Approximation Algorithm for the Minimum Latency Set Cover Problem
The input to the minimum latency set cover problem (MLSC) consists of a set of jobs and a set of tools. Each job j needs a specific subset Sj of the tools in order to be processed...
Refael Hassin, Asaf Levin
STACS
2005
Springer
15 years 11 months ago
Cost Sharing and Strategyproof Mechanisms for Set Cover Games
Abstract. We develop for set cover games several general cost-sharing methods that are approximately budget-balanced, core, and/or group-strategyproof. We first study the cost sha...
Xiang-Yang Li, Zheng Sun, Weizhao Wang